Some questions of the spectral theory of differential equations of elliptic type in the space of vector-functions

DOI10.1007/BF01089170zbMath0344.34018OpenAlexW2037028896MaRDI QIDQ1232492

M. L. Gorbachuk, V. I. Gorbachuk

Publication date: 1977

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01089170

Mathematics Subject Classification ID

Ordinary differential operators (34L99) Differential equations in abstract spaces (34G99)

Cites Work

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• On the Green's function for the Sturm-Liouville equation with a normal operator coefficient
• Spectral kernel of Sturm-Liouville operator with unbounded operator coefficient
• Some questions of the spectral theory of differential equations of elliptic type in the space of vector functions on a finite interval
• Conditions for the negative spectrum of the Schrödinger equation operator to be discrete and finite
• Asymptotic behavior to the eigenvalues of the Sturm-Liouville operator problem
• The self-adjointness conditions for a higher order differential operator with an operator coefficient
• Sufficient conditions for a discrete spectrum in the case of a Sturm- Liouville equation with operator coefficients
• Closed extensions of the Laplace operator determined by a general class of boundary conditions
• Negative spectrum of the Schrödinger operational equation
• Essential self-adjointness of Schrödinger operators with positive potentials
• Spectral and scattering theory for second-order differential operators with operator-valued coefficients
• Self-adjoint boundary problems with discrete spectrum generated by the Sturm-Liouville equation with unbounded operator coefficient

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